Into Two Inequalities

To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.

• X < 5

• X > 5

• X ≥ 5

• X ≤ 5

You and your friend are planning to walk across an old bridge. The bridge can hold at most 1000 pounds. The total weight of the people currently on the bridge is 675 pounds. You weigh 156 pounds.Write and solve an inequality that represents how much your friend can weigh within the limits of the bridge.

• X ≤ 169 

• X < 169

• X < 156

• X > 156 

You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $69.95. Write and solve an inequality that represents how much more you must spend to get free shipping.

• X > 5.05

• X ≥ 5. 05

• X > 69.95

• X ≥ 69.95

You bike for 2 hours at a speed no faster than 17.6 miles per hour. Write and solve an inequality that represents the possible numbers of miles you bike.

• X ≤ 17.6

• X ≥ 17.6 

• X ≥ 35.2 

• X ≤ 35.2

Which of the following inequalities would require you to flip the sign when solving?

• 2x < 3

• 3x > - 9

• -4x ≥ 10

• 5x ≤ 15

Solve:
-4(-7-5x) > 188

• x < -32

• x > -32

• x < 8

• x > 8

Solve the following inequality:
-4x + 14 ≤ 54

• x ≥ -10

• x ≤ -10

• x ≥ 10

• x ≤ 10

Melissa wants to spend no more than $300 on school clothes. She spends $75 on a coat and then wants to buy some sweaters that are on special for $10 each. Write an inequality to show how many sweaters Melissa can buy. DO NOT SOLVE

• 75x-10 ≥ 300

• 75+10 ≤ 300x

• 10x ≥ 300

• 75+10x ≤ 300

Match the graph with the given solution.

• A

• B

• C

• D

Olivia is going to the mall where she will buy a coffee for $3.00 and soaps for $4.00 each. How many bars of soap can she buy if she will spend no more than $30.00?

• 6.75 bars

• 6 bars

• 7 bars

• 5 bars